
Using the lattice QCD results of Ref. [1]},
we find \(\bar{g}_{LR}^{\pi \pi } = 8.23\) 
in the \(\overline{\rm MS}\)  scheme at \(\mu = 2\,\text{GeV}\) .
While both \(\bar{g}_{LR}^{\pi \pi } \) 
and \(\bar{g}_{LR}^{NN} \)  are expected to be \(\mathcal {O}(1)\) ,
given the large numerical value of \(\bar{g}_{LR}^{\pi \pi } \) , for the nucleon coupling we will assume \(\bar{g}_{LR}^{NN} \in [-10,+10]\) .
